Picture Languages Generated by Assembling Tiles
نویسندگان
چکیده
We propose a new model for defining picture languages inspired by the idea of formalizing an assembly mechanism of tiles based on rules. More precisely, a picture language will be generated from a finite set of initial pictures by iteratively applying rewriting rules from a given finite set of rules, called a tiling rule system ( t-RS system). We prove this model has greater generative capacity than the tiling systems of Giammarresi and Restivo, even in the case they generate one-letter alphabet picture languages. Using tiling rules systems we are able to show a different way of assembling recognizable pictures languages w.r.t. the one of non recognizable languages.
منابع مشابه
Self-Assembling Interactive Modules: A Research Programme
In this paper we propose a research programme for getting structural characterisations for 2-dimensional languages generated by self-assembling tiles. This is part of a larger programme on getting a formal foundation of parallel, interactive, distributed systems.
متن کاملLocal and recognizable hexagonal picture languages
In this paper we introduce hexagonal Wang tiles, local hexagonal picture languages, and recognizable hexagonal picture languages. We use hexagonal Wang tiles to introduce hexagonal Wang systems(HWS), a formalism to recognize hexagonal picture languages. It is noticed that the family of hexagonal picture languages defined by hexagonal Wang systems coincides with the family of hexagonal picture l...
متن کاملRecognizable Picture Languages and Domino Tiling
In [2], Giammarresi and Restivo define the notion of local picture languages by giving a set of authorized 2 x 2 tiles over C U {#} where # is a boundary symbol which surrounds the pictures. Then they define the class of recognizable picture languages as the set of languages which can be obtained by projection of a local one. This class is of interest since it admits several quite different cha...
متن کاملPicture Languages: From Wang Tiles to 2D Grammars
The aim of this paper is to collect definitions and results on the main classes of 2D languages introduced with the attempt of generalizing regular and context-free string languages and in same time preserving some of their nice properties. Almost all the models here described are based on tiles. So we also summarize some results on Wang tiles and its applications.
متن کاملASSEMBLE TIME FOR SELF-ASSEMBLING SQUARE TILES - JAMES SOLBERG 1 Assemble time for self-assembling square tiles
As technology drives components smaller, traditional methods of assembling these components become ever more impractical. Self-assembly is a viable solution in which the individual components autonomously organize themselves without the external guidance of a supervising agent. In this paper we look at the assembly times for various one and two dimensional objects that are assembled with square...
متن کامل